Generalizations of some theorems for the regular polygons


Aleksandar Sredojević, Dragoljub Milošević




In this paper we give the generalizations of the following theorems: 1) If $ABCDE$ is a regular pentagon, then $\frac{AC}{AB}-\frac{AB}{AC}=1$; 2) If $ABCDEFG$ is a regular heptagon, then $\frac1{AB}=\frac1{AC}+\frac1{AD}$.